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GenaCL600 [577]
3 years ago
14

Do the following setm of lengths form a right triangle 36,77, 85

Mathematics
2 answers:
klasskru [66]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side = 85 and 85² = 7225

36² + 77² = 1296 + 5929 = 7225

Thus the 3 sides form a right triangle

xxTIMURxx [149]3 years ago
3 0

Answer:

They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.

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Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of
Svetradugi [14.3K]

Answer:

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres

Step-by-step explanation:

7 0
3 years ago
What is the area of a regular 16-gon with a radius of 15 feet? Round your answer to the nearest tenth.
Sedbober [7]

Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

The radius of the 16-gon corresponds to the hypotenuse of any of these 32 right triangles. As you probably know, the area of a triangle is half the product of its base and height. For a right triangle, the base and height can be taken to be the two legs. So you need to find their lengths.

Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base <em>b</em> and height <em>h</em> such that

sin(78.75º) = <em>h</em>/15

cos(78.75º) = <em>b</em>/15

Solve for <em>h</em> and <em>b</em> to get

<em>b</em> = 15 cos(78.75º)

<em>h</em> = 15 sin(78.75º)

Then the area of each right triangle is

1/2 <em>b h</em> = 225/2 sin(78.75º) cos(78.75º) = 225/4 sin(157.5º)

and so the area of the 16-gon is

32(1/2 <em>b h</em>) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0
3 years ago
A tree casts a shadow 27 m long. At the same time, the shadow cast by a 66-cm tall statue is 56 cm long. Find the height of the
Nata [24]
\frac{height _{1} }{shadow_{1}} =  \frac{height _{2} }{shadow_{2}}

\frac{height _{1} }{27m} = \frac{66cm}{56cm}

\frac{height _{1} }{2700cm} = \frac{66cm}{56cm}

2700*66=56*h _{1}

178200=56h _{1}

3182.1cm=h _{1}

\frac{3182.1cm}{1000cm} = 3.2m

height:3.2m
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 30 + 8?
brilliants [131]

Answer:

38

Step-by-step explanation:

7 0
2 years ago
What is the value of 7(x+4)² - 3x when x = 2?
sdas [7]

Answer:  the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

5 0
3 years ago
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